Robust adaptive control using multiple models, switching and tuning

GIOVANINI L

IET CONTROL THEORY AND APPLICATIONS

INST ENGINEERING TECHNOLOGY-IET

Lugar: Londres; Año: 2011 vol. 5 p. 2168 - 2178

1751-8644

The supervisory control problem is analysed as an online robust design problem using switching to select the relevant models for designing the control law. The proposed supervisory control algorithm is based on the integration of concepts used in supervisory adaptive control, robust control and receding horizon control. It involves a two-stage adaptive control algorithm: (i) the identification of a time-varying set of models PL(k) , from the set of admissible models PL , that explains the input – output behaviour of the system, followed by (ii) the design of the control law using a parametric linear optimisation problem. The authors show that under the proposed supervisory control algorithm, the system output remains bounded for any boundeddisturbance. The use of superstability concepts, together with certain assumptions on PL , allows us to establish overall performance and robust stability guarantees for the supervisory scheme and to include constrains in the closed-loop variables as well as in the controller structure. The relevant features of the proposed control algorithm are demonstrated in a numerical simulation.